Mixed Numbers & Improper Fractions

Maths: Year 5 & 6 National Curriculum, topic 1.4.4

Mixed Numbers and Improper Fractions

Mixed numbers and improper fractions are both greater than 1.

$Improper fractions$

Improper fractions

An improper fraction has a numerator (top number) which is larger than the denominator (bottom number).
E.g. 9 is larger than 7, so $\frac{9}{7}$ is an improper fraction.

Mixed numbers

Mixed numbers

A mixed number contains both a whole number and a normal fraction.

$Improper fraction to mixed number$

Improper fraction to mixed number

What is $\frac{26}{9}$ written as a mixed number?

$Improper fraction to mixed number$

Improper fraction to mixed number

First work out how many times the denominator (bottom number) will go into the numerator (top number).
9 goes into 26 two times - this is the whole number part.

$Improper fraction to mixed number$

Improper fraction to mixed number

The remainder is 26 − 18 = 8.
So the fraction part is $\frac{8}{9}$ .

$Mixed number to improper fraction$

Mixed number to improper fraction

What is 3 $\frac{2}{5}$ written as an improper fraction?

$Mixed number to improper fraction$

Mixed number to improper fraction

Multiply the whole number by the denominator.
Add this amount to the numerator.

$Mixed number to improper fraction$

Mixed number to improper fraction

Finish the addition.

Test yourself on Mixed Numbers & Improper Fractions

What is 2 $\frac{3}{4}$ written as an improper fraction?
What is 5 $\frac{1}{5}$ written as an improper fraction?
What is $\frac{31}{8}$ written as a mixed number?
What is $\frac{25}{4}$ written as a mixed number?
Which of the following conversions are correct?

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